2
2x3x5x7x11x13=30,030
210
8 has three primes (2x2x2) in its factorization, and 30 is the smallest number having three different primes (2x3x5) in its factorization.
30
3
30,030 Factorization: 2x3x5x7x11x13
Every member of that infinite list is different.
The prime factorization of 8500 is 2 x 2 x 5 x 5 x 5 x 17. If listed in numerical order from smallest to largest, the last number in the prime factorization is 17.
The smallest number that has six different primes in its prime factorization is 30030 (2 x 3 x 5 x 7 x 11 x 13).
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
2*3*5 = 30
To find the smallest possible value of the original number that results in 8100, we need to consider its prime factorization. The prime factorization of 8100 is ( 2^2 \times 3^4 \times 5^2 ). The smallest possible value for the original number is the product of the smallest primes raised to their respective powers, which is 8100 itself. Therefore, the smallest possible value of the original number is 8100.